Problem 56200. Triangle Coordinates

Ben Placek

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Given a natural number n, return two -element vectors, x and y, containing the coordinates of a triangular arrangement of points, where:
there are n rows of points
the kth row contains k points
all points in the kth row have y = k
the x coordinates in each row are equally spaced a distance of 1 and centered at 0
The points should be given in order, row 1 to row n, with the x coordinate in each row given in ascending numerical order.
For example:
x = [0 -0.5 0.5 -1 0 1 -1.5 -0.5 0.5 1.5 -2 -1 0 1 2]
y = [1 2 2 3 3 3 4 4 4 4 5 5 5 5 5]